Lu Wenbin
Department of Statistics, North Carolina State University, Box 8203, Raleigh, USA.
Lifetime Data Anal. 2007 Mar;13(1):75-90. doi: 10.1007/s10985-006-9031-z.
Bivariate failure time data is widely used in survival analysis, for example, in twins study. This article presents a class of chi2-type tests for independence between pairs of failure times after adjusting for covariates. A bivariate accelerated failure time model is proposed for the joint distribution of bivariate failure times while leaving the dependence structures for related failure times completely unspecified. Theoretical properties of the proposed tests are derived and variance estimates of the test statistics are obtained using a resampling technique. Simulation studies show that the proposed tests are appropriate for practical use. Two examples including the study of infection in catheters for patients on dialysis and the diabetic retinopathy study are also given to illustrate the methodology.
双变量失效时间数据在生存分析中被广泛使用,例如在双胞胎研究中。本文提出了一类在调整协变量后用于检验双变量失效时间对之间独立性的卡方型检验。提出了一个双变量加速失效时间模型来描述双变量失效时间的联合分布,而完全不指定相关失效时间的依赖结构。推导了所提出检验的理论性质,并使用重采样技术获得了检验统计量的方差估计。模拟研究表明所提出的检验适用于实际应用。还给出了两个例子,包括对透析患者导管感染的研究和糖尿病视网膜病变研究,以说明该方法。